Wardowski Conditions to the Coincidence Problem

Author(s):

Dr C Vijender , Sreenidhi Institute of Science and technology, Hyderabad

Keywords:

Fixed point, contractivity, coincidence points, self-mappings

Abstract:

In this article, we first discuss the existence and uniqueness of a solution for the coincidence problem: Find p ∈ X such that Tp = Sp, where X is a nonempty set, Y is a complete metric space, and T, S:X → Y are two mappings satisfying a Wardowski type condition of contractivity. Later on, we will state the convergence of the Picard-Juncgk iteration process to the above coincidence problem as well as a rate of convergence for this iteration scheme. Finally, we shall apply our results to study the existence and uniqueness of a solution as well as the convergence of the Picard-Juncgk iteration process toward the solution of a second order differential equation.

Other Details:

Manuscript Id	:	IJSTEV3I5023
Published in	:	Volume : 3, Issue : 5
Publication Date	:	01/12/2016
Page(s)	:	13-16

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